We study odd-lot trading and determine if an odd-lot trade results from odd-lot orders or if odd-lots are a result of orders broken into multiple trades. We confirm that odd-lot transactions contribute to price discovery. Our finding that odd-lot transactions contain substantial information is...

This study examines relations between high frequency trading, order flow toxicity, stock price volatility during normal and high order flow toxicity periods, and predictability of changes in high frequency traders' liquidity supply and demand. By employing Volume-synchronized probability of...